Mathematische Zeitschrift

, Volume 212, Issue 1, pp 13–38

Coherent orientations for periodic orbit problems in symplectic geometry

  • A. Floer
  • H. Hofer
Article

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References

  1. 1.
    Donaldson, S.K., Kronheimer, P.B.: The Geometry of Four-Manifolds. (Oxf. Math. Monogr.) Oxford: Clarendon 1990MATHGoogle Scholar
  2. 2.
    Floer, A.: A Relative Index for the Symplectic Action. Commun. Pure Appl. Math.41, 393–407 (1988)MATHMathSciNetGoogle Scholar
  3. 3.
    Floer, A.: The Unregularised Gradient Flow of the Symplectic Action. Commun. Pure Appl. Math.41, 775–813 (1988)MATHMathSciNetGoogle Scholar
  4. 4.
    Floer, A.: Symplectic Fixed Points and Holomorphic Spheres. Commun. Math. Phys.120, 576–611 (1989)CrossRefMathSciNetGoogle Scholar
  5. 5.
    Floer, A., Elliptic Methods in Variational Problems. Proc. of the ICM Kyoto 90, 1990 (to appear)Google Scholar
  6. 6.
    Floer, A., Hofer, H.: Symplectic Homology I: Open Sets in ℂn. (Preprint)Google Scholar
  7. 7.
    Floer, A., Hofer, H.: Symplectic Homology II: General Symplectic Manifolds (in preparation).Google Scholar
  8. 8.
    Floer, A., Hofer, H., Wysocki, K.: Applications of Symplectic Homology I. (preprint)Google Scholar
  9. 9.
    Gromov, M.: Pseudoholomorphic curves in Symplectic Manifolds. Invent. Math.82, 307–347 (1985)MATHCrossRefGoogle Scholar
  10. 10.
    McDuff, D.: Examples of symplectic structures. Invent. Math.89, 13–36 (1987) 11. McDuff, D.: Elliptic Methods in Symplectic Geometry. Bull. Am. Math. Soc.23 (2), 311–358 (1990)MATHCrossRefMathSciNetGoogle Scholar
  11. 12.
    Salamon, D.: Morse Theory, the Conley Index and Floer Homology. Bull. Lond. Math. Soc.22, 113–140 (1990)MATHCrossRefMathSciNetGoogle Scholar
  12. 13.
    Salamon, D.: Zehnder, E.: Morse Theory for Periodic Solutions of Hamiltolian Systems and the Maslov Index. (Preprint)Google Scholar

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • A. Floer
    • 1
  • H. Hofer
    • 1
  1. 1.Ruhr-Universität BochumBochumFederal Republic of Germany

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